A sum of ₹ 18527 is divided between A, B and C such that the ratio of the shares of A and B is 4 ∶ 7 and that of B and C is 5 ∶ 6. What is the share of A (in ₹).
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 3820
A : B = 4 : 7
B : C = 5 : 6
⇒ A : B = 20 : 35
⇒ B : C = 35 : 42
So A : B : C = 20 : 35 : 42
Now
Let the ratio of shares of A, B, and C be 20x, 35x, and 42x
ATQ
20x + 35x + 42x = 18527
97x = 18527
x = 191
So A's share = 20 × 191
= 3820